Exploring the infrared Landau gauge propagators using large asymmetric lattices

Details Exploring the infrared Landau gauge propagators using large asymmetric lattices Exploring the infrared Landau gauge propagators using large asymmetric lattices

2006-09-28

arxiv.org/abs/hep-lat/0609069v2

PoSLAT2006:075,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, talk presented at Lattice 2006 (Confinement and Topology); minor changes, PoS(LAT2006)075

Scientific paper

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solutions of the Dyson-Schwinger equations with the lattice data is investigated and the exponent $\kappa$ is measured. The gluon lattice data favour $\kappa \sim 0.52$, which would imply a vanishing zero momentum gluon propagator. For the subset of lattices where the ghost propagator was computed, the data is not compatible with a pure power law. Our data also show a decreasing running coupling in the infrared region. Furthermore, positivity violation for the gluon propagator is also verified.

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